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Question 16in targe AACE. AB BC and CD = DEWhich of the following must be TRUEAE she same age 2 AB.BAE is the same length a DEcAE sto smes zion zBD.AE is totes long as BD.D

Question 16in targe AACE AB BC and CD DEWhich of the following must be TRUEAE she same age 2 ABBAE is the same length a DEcAE sto smes zion zBDAE is totes long class=

Respuesta :

Notice that the triangles ACE and BCD are similar triangles by the SAS criterion. Since AB is congruent to BC, then AC is two times BC.

Since the sides of similar triangles are proportional and the scale factor from triangle BCD to ACE is 2, then AE is two times as long as BD.